Exponential Growth
8. Which represents the fastest exponential growth?
D
11. The value of a new motorcycle purchased for $12,000 decreases 6% per year. Which exponential decay mode will calculate the value of the car in any number of years?
A
10. If you deposit $3000 in an account that pays 1.2% interest compounded monthly which expression will calculate the value in the savings account in 3 years?
C
12. You plant a sunflower when it is 2 inches tall. It grows 3 inches per week. Which expression will calculate how tall it will be in 16 weeks?
A
31. A fire doubles its square footage every hour. Right now it is 7 acres. Write an equation to calculate how large it will be in h hours.
y=7(2)x
16. Write the equation that represents the graph.
y=4(2)x
33. Which equation correctly shows an initial value of 4 declining at a rate of 12%?
B
7. You depost $1600 in a bank account. Find the balance after 3 years for the following:
c. The account pays 4% annual interest compounded semi-annually.
$1801.86
21. Write the equation that represents the graph.
y=-3x-4
34. 6x-3(x-2)=2(x+4)+3x
x=-1
18. Write an equation that represents the pattern in the table below.
y=4(12)x
17. A population of deer is decreasing. Write an equation to describe the deer population in any year x.
y=800(9/10)x
7. You depost $1600 in a bank account. Find the balance after 3 years for the following:
b. The account pays 0.18% annual interest compounded quarterly.
$1608.66
13. Write the equation that represents the pattern in the table below.
y=86-21x
41. -(x-8)/7=21
x=-139
19. The population of a small town is 3200 people... Write an equation that would describe the relationship between year and town population.
y=3200(1.25)x
6. You take a job disposing of hazardous materials. You are able to reduce the waste by 85% each year. You start with 50,000 tons of material.
a. Write an equation that will help you calculate how much waste will remain in t years.
b. How many pounds of material will remain in 3 years?
a. y=50000(0.15)t
b. 168.75
7. You depost $1600 in a bank account. Find the balance after 3 years for the following:
a. The account pays 2.5% annual interest compounded monthly.
$1724.48
14. Mary's car displays... Write an equation that represents the remaining gallons of gas after traveling x miles.
y=-0.7x+18.7
26. Bacteria can multiply at an alarming rate by tripling every day. We start with 2 bacteria.
a. Write an equation.
b. How many bacteria will there be after 8 days?
a. y=2(3)x
b. y=13122